\begin{tikzpicture}
    \tkzDefPoints{0/0/B, 4/0/C, 3/2.5/A}
    \tkzDefPointOnLine[pos=0.5](A,C)  \tkzGetPoint{E}
    \tkzDefPointOnLine[pos=0.5](A,B)  \tkzGetPoint{F}
    \tkzInterLL(B,E)(C,F)  \tkzGetPoint{G}

    \tkzDrawPolygon(A,B,C)
    \tkzDrawSegments(B,E  C,F)
    \tkzDrawSegment[dashed](E,F)
    \tkzLabelPoints[above](A)
    \tkzLabelPoints[left](B,F)
    \tkzLabelPoints[right](C,E)
    \tkzLabelPoints[below](G)
\end{tikzpicture}

